The order of the differential equation whose general solution is y = e x (a cos x + b sin x), where a and b are arbitrary constant is

Question

The order of the differential equation whose general solution is $y = e^{x} (a \cos x + b \sin x),$ where $a$ and $b$ are arbitrary constant is:

Smart Achievers · Accepted Answer

(2)

Ans. 3

Explanation:

$y = e^{x} [a \cos x + b \sin x]$

The equation has 3 arbitrary constant so order of its differential equation is 3.

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